4165683120 has 160 divisors (see below), whose sum is σ = 15103795200. Its totient is φ = 1052372736.

The previous prime is 4165683091. The next prime is 4165683121. The reversal of 4165683120 is 213865614.

It is a happy number.

4165683120 is a `hidden beast` number, since 41 + 6 + 568 + 31 + 20 = 666.

4165683120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4165683121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9712 + ... + 91791.

It is an arithmetic number, because the mean of its divisors is an integer number (94398720).

Almost surely, 2^4165683120 is an apocalyptic number.

4165683120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165683120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551897600).

4165683120 is an abundant number, since it is smaller than the sum of its proper divisors (10938112080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4165683120 is a wasteful number, since it uses less digits than its factorization.

4165683120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101544 (or 101532 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4165683120 is about 64542.1034674266. The cubic root of 4165683120 is about 1609.0223505302.

The spelling of 4165683120 in words is "four billion, one hundred sixty-five million, six hundred eighty-three thousand, one hundred twenty".